1.
Introduction
2.
Getting Started
2.1.
Quickstart Examples
3.
Numbers
3.1.
Natural Numbers
3.2.
Integers
3.3.
Rationals
3.4.
Modular Arithmetic
4.
Linear Algebra
4.1.
Matrices
4.2.
Hermite Normal Form
4.3.
Smith Normal Form
4.4.
Jordan Normal Form
4.5.
Free Modules
5.
Polynomials
5.1.
Univariate Polynomials
5.2.
Multivariate Polynomials
5.3.
Symmetric Polynomials
6.
Algebraic Numbers
6.1.
Obtaining Polynomial Roots
6.2.
Real Algebraic Numbers
6.3.
Complex Algebraic Numbers
6.4.
p-Adic Algebraic Numbers
6.5.
Algebraic Number Fields
6.5.1.
Embedded Number Fields
6.5.2.
Ideals
6.5.3.
Class Group
7.
Quaternion Algebras
7.1.
Quaternion Orders
8.
Shapes
9.
Groups
10.
The Structure System
10.1.
Structure Types
10.2.
Canonical Structures
10.3.
Morphisms
10.4.
Sets
10.5.
Rings